Martín Sombra

Membership: BIGGAMES research group, Institut de Matemàtiques (IMUB), and Centre de Recerca Matemàtica (CRM)

Research interests: algebraic and Diophantine geometry, Arakelov geometry, combinatorics, computer algebra, and complexity of algorithms

Present and upcoming activities [archives]

• 6 - 10 October 2025: research stay at Politecnico di Torino, Italy
• 1 - 6 December 2025: congress RSME-UMA at Bariloche, Argentina
• 8 - 18 July 2026: conference Foundations of Computational Mathematics (FoCM 2026) at Vienna, Austria
• 1 September - 31 October 2026: visit of Ricardo Menares (Universidad Católica de Chile, Santiago, Chile)

Some recent talks

• Toric equidistribution revisited, talk at the conference Combinatorial sinergies in geometry and number theory at IMPA, Rio de Janeiro, Brazil, March 2025
• The zero set of the independence polynomial of a graph [presentation], talk at the Seminario del CMaLP at La Plata, Argentina, November 2021
• The mean height of the solution set of a system of polynomial equations [presentation], talk at the Number theory web seminar, September 2021
• A Macaulay formula for the sparse resultant, talk at the congress MCA 2021 at Buenos Aires, Argentina, July 2021
• Measuring the solution set of a system of polynomial equations, talk at the BGSMath María de Maeztu unit of excellence closing workshop, UB, June 2019

Recent texts Heights of complete intersections in toric varieties Approximation of adelic divisors and equidistribution of small points Limit heights and special values of the Riemann zeta function The house of the small numbers A toric dictionary in arithmetic geometry: Part I, Part II, Part III, Part IV, and Part V

Here is my complete list of publications